What is the Greatest Common Factor of 67900 and 67916?

Greatest common factor (GCF) of 67900 and 67916 is 4.

GCF(67900,67916) = 4

We will now calculate the prime factors of 67900 and 67916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67900 and 67916.

How to find the GCF of 67900 and 67916?

We will first find the prime factorization of 67900 and 67916. After we will calculate the factors of 67900 and 67916 and find the biggest common factor number .

Step-1: Prime Factorization of 67900

Prime factors of 67900 are 2, 5, 7, 97. Prime factorization of 67900 in exponential form is:

67900 = 2² × 5² × 7¹ × 97¹

Step-2: Prime Factorization of 67916

Prime factors of 67916 are 2, 16979. Prime factorization of 67916 in exponential form is:

67916 = 2² × 16979¹

Step-3: Factors of 67900

List of positive integer factors of 67900 that divides 67900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 97, 100, 140, 175, 194, 350, 388, 485, 679, 700, 970, 1358, 1940, 2425, 2716, 3395, 4850, 6790, 9700, 13580, 16975, 33950

Step-4: Factors of 67916

List of positive integer factors of 67916 that divides 67900 without a remainder.

1, 2, 4, 16979, 33958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67900 and 67916. The biggest common factor number is the GCF number.
So the greatest common factor 67900 and 67916 is 4.

Also check out the Least Common Multiple of 67900 and 67916