What is the Greatest Common Factor of 67900 and 67907?

Greatest common factor (GCF) of 67900 and 67907 is 7.

GCF(67900,67907) = 7

We will now calculate the prime factors of 67900 and 67907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67900 and 67907.

How to find the GCF of 67900 and 67907?

We will first find the prime factorization of 67900 and 67907. After we will calculate the factors of 67900 and 67907 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 67907

Prime factors of 67907 are 7, 89, 109. Prime factorization of 67907 in exponential form is:

67907 = 7¹ × 89¹ × 109¹

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 67907

List of positive integer factors of 67907 that divides 67900 without a remainder.

1, 7, 89, 109, 623, 763, 9701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67900 and 67907. The biggest common factor number is the GCF number.
So the greatest common factor 67900 and 67907 is 7.

Also check out the Least Common Multiple of 67900 and 67907