What is the Greatest Common Factor of 77532 and 77538?

Greatest common factor (GCF) of 77532 and 77538 is 6.

GCF(77532,77538) = 6

We will now calculate the prime factors of 77532 and 77538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77532 and 77538.

How to find the GCF of 77532 and 77538?

We will first find the prime factorization of 77532 and 77538. After we will calculate the factors of 77532 and 77538 and find the biggest common factor number .

Step-1: Prime Factorization of 77532

Prime factors of 77532 are 2, 3, 7, 13, 71. Prime factorization of 77532 in exponential form is:

77532 = 2² × 3¹ × 7¹ × 13¹ × 71¹

Step-2: Prime Factorization of 77538

Prime factors of 77538 are 2, 3, 12923. Prime factorization of 77538 in exponential form is:

77538 = 2¹ × 3¹ × 12923¹

Step-3: Factors of 77532

List of positive integer factors of 77532 that divides 77532 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 71, 78, 84, 91, 142, 156, 182, 213, 273, 284, 364, 426, 497, 546, 852, 923, 994, 1092, 1491, 1846, 1988, 2769, 2982, 3692, 5538, 5964, 6461, 11076, 12922, 19383, 25844, 38766

Step-4: Factors of 77538

List of positive integer factors of 77538 that divides 77532 without a remainder.

1, 2, 3, 6, 12923, 25846, 38769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77532 and 77538. The biggest common factor number is the GCF number.
So the greatest common factor 77532 and 77538 is 6.

Also check out the Least Common Multiple of 77532 and 77538