What is the Greatest Common Factor of 60076 and 60080?

Greatest common factor (GCF) of 60076 and 60080 is 4.

GCF(60076,60080) = 4

We will now calculate the prime factors of 60076 and 60080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60076 and 60080.

How to find the GCF of 60076 and 60080?

We will first find the prime factorization of 60076 and 60080. After we will calculate the factors of 60076 and 60080 and find the biggest common factor number .

Step-1: Prime Factorization of 60076

Prime factors of 60076 are 2, 23, 653. Prime factorization of 60076 in exponential form is:

60076 = 2² × 23¹ × 653¹

Step-2: Prime Factorization of 60080

Prime factors of 60080 are 2, 5, 751. Prime factorization of 60080 in exponential form is:

60080 = 2⁴ × 5¹ × 751¹

Step-3: Factors of 60076

List of positive integer factors of 60076 that divides 60076 without a remainder.

1, 2, 4, 23, 46, 92, 653, 1306, 2612, 15019, 30038

Step-4: Factors of 60080

List of positive integer factors of 60080 that divides 60076 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 751, 1502, 3004, 3755, 6008, 7510, 12016, 15020, 30040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60076 and 60080. The biggest common factor number is the GCF number.
So the greatest common factor 60076 and 60080 is 4.

Also check out the Least Common Multiple of 60076 and 60080