What is the Greatest Common Factor of 76516 and 76534?

Greatest common factor (GCF) of 76516 and 76534 is 2.

GCF(76516,76534) = 2

We will now calculate the prime factors of 76516 and 76534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76516 and 76534.

How to find the GCF of 76516 and 76534?

We will first find the prime factorization of 76516 and 76534. After we will calculate the factors of 76516 and 76534 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 76534

Prime factors of 76534 are 2, 17, 2251. Prime factorization of 76534 in exponential form is:

76534 = 2¹ × 17¹ × 2251¹

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 76534

List of positive integer factors of 76534 that divides 76516 without a remainder.

1, 2, 17, 34, 2251, 4502, 38267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76516 and 76534. The biggest common factor number is the GCF number.
So the greatest common factor 76516 and 76534 is 2.

Also check out the Least Common Multiple of 76516 and 76534