What is the Greatest Common Factor of 76516 and 76522?

Greatest common factor (GCF) of 76516 and 76522 is 2.

GCF(76516,76522) = 2

We will now calculate the prime factors of 76516 and 76522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76516 and 76522.

How to find the GCF of 76516 and 76522?

We will first find the prime factorization of 76516 and 76522. After we will calculate the factors of 76516 and 76522 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 76522

Prime factors of 76522 are 2, 38261. Prime factorization of 76522 in exponential form is:

76522 = 2¹ × 38261¹

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 76522

List of positive integer factors of 76522 that divides 76516 without a remainder.

1, 2, 38261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76516 and 76522. The biggest common factor number is the GCF number.
So the greatest common factor 76516 and 76522 is 2.

Also check out the Least Common Multiple of 76516 and 76522