What is the Greatest Common Factor of 35520 and 35532?

Greatest common factor (GCF) of 35520 and 35532 is 12.

GCF(35520,35532) = 12

We will now calculate the prime factors of 35520 and 35532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35520 and 35532.

How to find the GCF of 35520 and 35532?

We will first find the prime factorization of 35520 and 35532. After we will calculate the factors of 35520 and 35532 and find the biggest common factor number .

Step-1: Prime Factorization of 35520

Prime factors of 35520 are 2, 3, 5, 37. Prime factorization of 35520 in exponential form is:

35520 = 2⁶ × 3¹ × 5¹ × 37¹

Step-2: Prime Factorization of 35532

Prime factors of 35532 are 2, 3, 7, 47. Prime factorization of 35532 in exponential form is:

35532 = 2² × 3³ × 7¹ × 47¹

Step-3: Factors of 35520

List of positive integer factors of 35520 that divides 35520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 37, 40, 48, 60, 64, 74, 80, 96, 111, 120, 148, 160, 185, 192, 222, 240, 296, 320, 370, 444, 480, 555, 592, 740, 888, 960, 1110, 1184, 1480, 1776, 2220, 2368, 2960, 3552, 4440, 5920, 7104, 8880, 11840, 17760

Step-4: Factors of 35532

List of positive integer factors of 35532 that divides 35520 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 47, 54, 63, 84, 94, 108, 126, 141, 188, 189, 252, 282, 329, 378, 423, 564, 658, 756, 846, 987, 1269, 1316, 1692, 1974, 2538, 2961, 3948, 5076, 5922, 8883, 11844, 17766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35520 and 35532. The biggest common factor number is the GCF number.
So the greatest common factor 35520 and 35532 is 12.

Also check out the Least Common Multiple of 35520 and 35532