What is the Greatest Common Factor of 77532 and 77541?

Greatest common factor (GCF) of 77532 and 77541 is 3.

GCF(77532,77541) = 3

We will now calculate the prime factors of 77532 and 77541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77532 and 77541.

How to find the GCF of 77532 and 77541?

We will first find the prime factorization of 77532 and 77541. After we will calculate the factors of 77532 and 77541 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 77541

Prime factors of 77541 are 3, 25847. Prime factorization of 77541 in exponential form is:

77541 = 3¹ × 25847¹

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 77541

List of positive integer factors of 77541 that divides 77532 without a remainder.

1, 3, 25847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77532 and 77541. The biggest common factor number is the GCF number.
So the greatest common factor 77532 and 77541 is 3.

Also check out the Least Common Multiple of 77532 and 77541