What is the Greatest Common Factor of 75068 and 75080?

Greatest common factor (GCF) of 75068 and 75080 is 4.

GCF(75068,75080) = 4

We will now calculate the prime factors of 75068 and 75080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75068 and 75080.

How to find the GCF of 75068 and 75080?

We will first find the prime factorization of 75068 and 75080. After we will calculate the factors of 75068 and 75080 and find the biggest common factor number .

Step-1: Prime Factorization of 75068

Prime factors of 75068 are 2, 7, 383. Prime factorization of 75068 in exponential form is:

75068 = 2² × 7² × 383¹

Step-2: Prime Factorization of 75080

Prime factors of 75080 are 2, 5, 1877. Prime factorization of 75080 in exponential form is:

75080 = 2³ × 5¹ × 1877¹

Step-3: Factors of 75068

List of positive integer factors of 75068 that divides 75068 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 383, 766, 1532, 2681, 5362, 10724, 18767, 37534

Step-4: Factors of 75080

List of positive integer factors of 75080 that divides 75068 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1877, 3754, 7508, 9385, 15016, 18770, 37540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75068 and 75080. The biggest common factor number is the GCF number.
So the greatest common factor 75068 and 75080 is 4.

Also check out the Least Common Multiple of 75068 and 75080