What is the Greatest Common Factor of 60780 and 60800?

Greatest common factor (GCF) of 60780 and 60800 is 20.

GCF(60780,60800) = 20

We will now calculate the prime factors of 60780 and 60800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60780 and 60800.

How to find the GCF of 60780 and 60800?

We will first find the prime factorization of 60780 and 60800. After we will calculate the factors of 60780 and 60800 and find the biggest common factor number .

Step-1: Prime Factorization of 60780

Prime factors of 60780 are 2, 3, 5, 1013. Prime factorization of 60780 in exponential form is:

60780 = 2² × 3¹ × 5¹ × 1013¹

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 60780

List of positive integer factors of 60780 that divides 60780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1013, 2026, 3039, 4052, 5065, 6078, 10130, 12156, 15195, 20260, 30390

Step-4: Factors of 60800

List of positive integer factors of 60800 that divides 60780 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 60780 and 60800. The biggest common factor number is the GCF number.
So the greatest common factor 60780 and 60800 is 20.

Also check out the Least Common Multiple of 60780 and 60800