What is the Greatest Common Factor of 76501 and 76516?

Greatest common factor (GCF) of 76501 and 76516 is 1.

GCF(76501,76516) = 1

We will now calculate the prime factors of 76501 and 76516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76501 and 76516.

How to find the GCF of 76501 and 76516?

We will first find the prime factorization of 76501 and 76516. After we will calculate the factors of 76501 and 76516 and find the biggest common factor number .

Step-1: Prime Factorization of 76501

Prime factors of 76501 are 113, 677. Prime factorization of 76501 in exponential form is:

76501 = 113¹ × 677¹

Step-2: 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-3: Factors of 76501

List of positive integer factors of 76501 that divides 76501 without a remainder.

1, 113, 677

Step-4: Factors of 76516

List of positive integer factors of 76516 that divides 76501 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76501 and 76516. The biggest common factor number is the GCF number.
So the greatest common factor 76501 and 76516 is 1.

Also check out the Least Common Multiple of 76501 and 76516