What is the Greatest Common Factor of 35532 and 35546?

Greatest common factor (GCF) of 35532 and 35546 is 14.

GCF(35532,35546) = 14

We will now calculate the prime factors of 35532 and 35546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35532 and 35546.

How to find the GCF of 35532 and 35546?

We will first find the prime factorization of 35532 and 35546. After we will calculate the factors of 35532 and 35546 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 35546

Prime factors of 35546 are 2, 7, 2539. Prime factorization of 35546 in exponential form is:

35546 = 2¹ × 7¹ × 2539¹

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 35546

List of positive integer factors of 35546 that divides 35532 without a remainder.

1, 2, 7, 14, 2539, 5078, 17773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35532 and 35546. The biggest common factor number is the GCF number.
So the greatest common factor 35532 and 35546 is 14.

Also check out the Least Common Multiple of 35532 and 35546