What is the Greatest Common Factor of 75970 and 75987?

Greatest common factor (GCF) of 75970 and 75987 is 1.

GCF(75970,75987) = 1

We will now calculate the prime factors of 75970 and 75987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75970 and 75987.

How to find the GCF of 75970 and 75987?

We will first find the prime factorization of 75970 and 75987. After we will calculate the factors of 75970 and 75987 and find the biggest common factor number .

Step-1: Prime Factorization of 75970

Prime factors of 75970 are 2, 5, 71, 107. Prime factorization of 75970 in exponential form is:

75970 = 2¹ × 5¹ × 71¹ × 107¹

Step-2: Prime Factorization of 75987

Prime factors of 75987 are 3, 8443. Prime factorization of 75987 in exponential form is:

75987 = 3² × 8443¹

Step-3: Factors of 75970

List of positive integer factors of 75970 that divides 75970 without a remainder.

1, 2, 5, 10, 71, 107, 142, 214, 355, 535, 710, 1070, 7597, 15194, 37985

Step-4: Factors of 75987

List of positive integer factors of 75987 that divides 75970 without a remainder.

1, 3, 9, 8443, 25329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75970 and 75987. The biggest common factor number is the GCF number.
So the greatest common factor 75970 and 75987 is 1.

Also check out the Least Common Multiple of 75970 and 75987