What is the Greatest Common Factor of 68635 and 68650?

Greatest common factor (GCF) of 68635 and 68650 is 5.

GCF(68635,68650) = 5

We will now calculate the prime factors of 68635 and 68650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68635 and 68650.

How to find the GCF of 68635 and 68650?

We will first find the prime factorization of 68635 and 68650. After we will calculate the factors of 68635 and 68650 and find the biggest common factor number .

Step-1: Prime Factorization of 68635

Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:

68635 = 5¹ × 7¹ × 37¹ × 53¹

Step-2: Prime Factorization of 68650

Prime factors of 68650 are 2, 5, 1373. Prime factorization of 68650 in exponential form is:

68650 = 2¹ × 5² × 1373¹

Step-3: Factors of 68635

List of positive integer factors of 68635 that divides 68635 without a remainder.

1, 5, 7, 35, 37, 53, 185, 259, 265, 371, 1295, 1855, 1961, 9805, 13727

Step-4: Factors of 68650

List of positive integer factors of 68650 that divides 68635 without a remainder.

1, 2, 5, 10, 25, 50, 1373, 2746, 6865, 13730, 34325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68635 and 68650. The biggest common factor number is the GCF number.
So the greatest common factor 68635 and 68650 is 5.

Also check out the Least Common Multiple of 68635 and 68650