What is the Greatest Common Factor of 75628 and 75634?

Greatest common factor (GCF) of 75628 and 75634 is 2.

GCF(75628,75634) = 2

We will now calculate the prime factors of 75628 and 75634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75628 and 75634.

How to find the GCF of 75628 and 75634?

We will first find the prime factorization of 75628 and 75634. After we will calculate the factors of 75628 and 75634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75634

Prime factors of 75634 are 2, 13, 2909. Prime factorization of 75634 in exponential form is:

75634 = 2¹ × 13¹ × 2909¹

Step-3: Factors of 75628

List of positive integer factors of 75628 that divides 75628 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

Step-4: Factors of 75634

List of positive integer factors of 75634 that divides 75628 without a remainder.

1, 2, 13, 26, 2909, 5818, 37817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75628 and 75634. The biggest common factor number is the GCF number.
So the greatest common factor 75628 and 75634 is 2.

Also check out the Least Common Multiple of 75628 and 75634