What is the Greatest Common Factor of 60788 and 60800?

Greatest common factor (GCF) of 60788 and 60800 is 4.

GCF(60788,60800) = 4

We will now calculate the prime factors of 60788 and 60800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60788 and 60800.

How to find the GCF of 60788 and 60800?

We will first find the prime factorization of 60788 and 60800. After we will calculate the factors of 60788 and 60800 and find the biggest common factor number .

Step-1: Prime Factorization of 60788

Prime factors of 60788 are 2, 7, 13, 167. Prime factorization of 60788 in exponential form is:

60788 = 2² × 7¹ × 13¹ × 167¹

Step-2: Prime Factorization of 60800

Prime factors of 60800 are 2, 5, 19. Prime factorization of 60800 in exponential form is:

60800 = 2⁷ × 5² × 19¹

Step-3: Factors of 60788

List of positive integer factors of 60788 that divides 60788 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 167, 182, 334, 364, 668, 1169, 2171, 2338, 4342, 4676, 8684, 15197, 30394

Step-4: Factors of 60800

List of positive integer factors of 60800 that divides 60788 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 64, 76, 80, 95, 100, 128, 152, 160, 190, 200, 304, 320, 380, 400, 475, 608, 640, 760, 800, 950, 1216, 1520, 1600, 1900, 2432, 3040, 3200, 3800, 6080, 7600, 12160, 15200, 30400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60788 and 60800. The biggest common factor number is the GCF number.
So the greatest common factor 60788 and 60800 is 4.

Also check out the Least Common Multiple of 60788 and 60800