What is the Greatest Common Factor of 75617 and 75628?

Greatest common factor (GCF) of 75617 and 75628 is 1.

GCF(75617,75628) = 1

We will now calculate the prime factors of 75617 and 75628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75617 and 75628.

How to find the GCF of 75617 and 75628?

We will first find the prime factorization of 75617 and 75628. After we will calculate the factors of 75617 and 75628 and find the biggest common factor number .

Step-1: Prime Factorization of 75617

Prime factors of 75617 are 75617. Prime factorization of 75617 in exponential form is:

75617 = 75617¹

Step-2: Prime Factorization of 75628

Prime factors of 75628 are 2, 7, 37, 73. Prime factorization of 75628 in exponential form is:

75628 = 2² × 7¹ × 37¹ × 73¹

Step-3: Factors of 75617

List of positive integer factors of 75617 that divides 75617 without a remainder.

Step-4: Factors of 75628

List of positive integer factors of 75628 that divides 75617 without a remainder.

1, 2, 4, 7, 14, 28, 37, 73, 74, 146, 148, 259, 292, 511, 518, 1022, 1036, 2044, 2701, 5402, 10804, 18907, 37814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75617 and 75628. The biggest common factor number is the GCF number.
So the greatest common factor 75617 and 75628 is 1.

Also check out the Least Common Multiple of 75617 and 75628