What is the Greatest Common Factor of 75972 and 75989?

Greatest common factor (GCF) of 75972 and 75989 is 1.

GCF(75972,75989) = 1

We will now calculate the prime factors of 75972 and 75989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75972 and 75989.

How to find the GCF of 75972 and 75989?

We will first find the prime factorization of 75972 and 75989. After we will calculate the factors of 75972 and 75989 and find the biggest common factor number .

Step-1: Prime Factorization of 75972

Prime factors of 75972 are 2, 3, 13, 487. Prime factorization of 75972 in exponential form is:

75972 = 2² × 3¹ × 13¹ × 487¹

Step-2: Prime Factorization of 75989

Prime factors of 75989 are 75989. Prime factorization of 75989 in exponential form is:

75989 = 75989¹

Step-3: Factors of 75972

List of positive integer factors of 75972 that divides 75972 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 487, 974, 1461, 1948, 2922, 5844, 6331, 12662, 18993, 25324, 37986

Step-4: Factors of 75989

List of positive integer factors of 75989 that divides 75972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75972 and 75989. The biggest common factor number is the GCF number.
So the greatest common factor 75972 and 75989 is 1.

Also check out the Least Common Multiple of 75972 and 75989