What is the Greatest Common Factor of 76516 and 76536?

Greatest common factor (GCF) of 76516 and 76536 is 4.

GCF(76516,76536) = 4

We will now calculate the prime factors of 76516 and 76536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76516 and 76536.

How to find the GCF of 76516 and 76536?

We will first find the prime factorization of 76516 and 76536. After we will calculate the factors of 76516 and 76536 and find the biggest common factor number .

Step-1: Prime Factorization of 76516

Prime factors of 76516 are 2, 11, 37, 47. Prime factorization of 76516 in exponential form is:

76516 = 2² × 11¹ × 37¹ × 47¹

Step-2: Prime Factorization of 76536

Prime factors of 76536 are 2, 3, 1063. Prime factorization of 76536 in exponential form is:

76536 = 2³ × 3² × 1063¹

Step-3: Factors of 76516

List of positive integer factors of 76516 that divides 76516 without a remainder.

1, 2, 4, 11, 22, 37, 44, 47, 74, 94, 148, 188, 407, 517, 814, 1034, 1628, 1739, 2068, 3478, 6956, 19129, 38258

Step-4: Factors of 76536

List of positive integer factors of 76536 that divides 76516 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1063, 2126, 3189, 4252, 6378, 8504, 9567, 12756, 19134, 25512, 38268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76516 and 76536. The biggest common factor number is the GCF number.
So the greatest common factor 76516 and 76536 is 4.

Also check out the Least Common Multiple of 76516 and 76536