What is the Greatest Common Factor of 68920 and 68930?

Greatest common factor (GCF) of 68920 and 68930 is 10.

GCF(68920,68930) = 10

We will now calculate the prime factors of 68920 and 68930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68920 and 68930.

How to find the GCF of 68920 and 68930?

We will first find the prime factorization of 68920 and 68930. After we will calculate the factors of 68920 and 68930 and find the biggest common factor number .

Step-1: Prime Factorization of 68920

Prime factors of 68920 are 2, 5, 1723. Prime factorization of 68920 in exponential form is:

68920 = 2³ × 5¹ × 1723¹

Step-2: Prime Factorization of 68930

Prime factors of 68930 are 2, 5, 61, 113. Prime factorization of 68930 in exponential form is:

68930 = 2¹ × 5¹ × 61¹ × 113¹

Step-3: Factors of 68920

List of positive integer factors of 68920 that divides 68920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1723, 3446, 6892, 8615, 13784, 17230, 34460

Step-4: Factors of 68930

List of positive integer factors of 68930 that divides 68920 without a remainder.

1, 2, 5, 10, 61, 113, 122, 226, 305, 565, 610, 1130, 6893, 13786, 34465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68920 and 68930. The biggest common factor number is the GCF number.
So the greatest common factor 68920 and 68930 is 10.

Also check out the Least Common Multiple of 68920 and 68930