What is the Greatest Common Factor of 35532 and 35544?

Greatest common factor (GCF) of 35532 and 35544 is 12.

GCF(35532,35544) = 12

We will now calculate the prime factors of 35532 and 35544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35532 and 35544.

How to find the GCF of 35532 and 35544?

We will first find the prime factorization of 35532 and 35544. After we will calculate the factors of 35532 and 35544 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35544

Prime factors of 35544 are 2, 3, 1481. Prime factorization of 35544 in exponential form is:

35544 = 2³ × 3¹ × 1481¹

Step-3: Factors of 35532

List of positive integer factors of 35532 that divides 35532 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

Step-4: Factors of 35544

List of positive integer factors of 35544 that divides 35532 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1481, 2962, 4443, 5924, 8886, 11848, 17772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35532 and 35544. The biggest common factor number is the GCF number.
So the greatest common factor 35532 and 35544 is 12.

Also check out the Least Common Multiple of 35532 and 35544