What is the Greatest Common Factor of 77532 and 77544?

Greatest common factor (GCF) of 77532 and 77544 is 12.

GCF(77532,77544) = 12

We will now calculate the prime factors of 77532 and 77544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77532 and 77544.

How to find the GCF of 77532 and 77544?

We will first find the prime factorization of 77532 and 77544. After we will calculate the factors of 77532 and 77544 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 77544

Prime factors of 77544 are 2, 3, 359. Prime factorization of 77544 in exponential form is:

77544 = 2³ × 3³ × 359¹

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 77544

List of positive integer factors of 77544 that divides 77532 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 359, 718, 1077, 1436, 2154, 2872, 3231, 4308, 6462, 8616, 9693, 12924, 19386, 25848, 38772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77532 and 77544. The biggest common factor number is the GCF number.
So the greatest common factor 77532 and 77544 is 12.

Also check out the Least Common Multiple of 77532 and 77544