What is the Greatest Common Factor of 75001 and 75020?

Greatest common factor (GCF) of 75001 and 75020 is 1.

GCF(75001,75020) = 1

We will now calculate the prime factors of 75001 and 75020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75001 and 75020.

How to find the GCF of 75001 and 75020?

We will first find the prime factorization of 75001 and 75020. After we will calculate the factors of 75001 and 75020 and find the biggest common factor number .

Step-1: Prime Factorization of 75001

Prime factors of 75001 are 179, 419. Prime factorization of 75001 in exponential form is:

75001 = 179¹ × 419¹

Step-2: Prime Factorization of 75020

Prime factors of 75020 are 2, 5, 11, 31. Prime factorization of 75020 in exponential form is:

75020 = 2² × 5¹ × 11² × 31¹

Step-3: Factors of 75001

List of positive integer factors of 75001 that divides 75001 without a remainder.

1, 179, 419

Step-4: Factors of 75020

List of positive integer factors of 75020 that divides 75001 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 121, 124, 155, 220, 242, 310, 341, 484, 605, 620, 682, 1210, 1364, 1705, 2420, 3410, 3751, 6820, 7502, 15004, 18755, 37510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75001 and 75020. The biggest common factor number is the GCF number.
So the greatest common factor 75001 and 75020 is 1.

Also check out the Least Common Multiple of 75001 and 75020