What is the Greatest Common Factor of 75140 and 75148?

Greatest common factor (GCF) of 75140 and 75148 is 4.

GCF(75140,75148) = 4

We will now calculate the prime factors of 75140 and 75148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75140 and 75148.

How to find the GCF of 75140 and 75148?

We will first find the prime factorization of 75140 and 75148. After we will calculate the factors of 75140 and 75148 and find the biggest common factor number .

Step-1: Prime Factorization of 75140

Prime factors of 75140 are 2, 5, 13, 17. Prime factorization of 75140 in exponential form is:

75140 = 2² × 5¹ × 13¹ × 17²

Step-2: Prime Factorization of 75148

Prime factors of 75148 are 2, 18787. Prime factorization of 75148 in exponential form is:

75148 = 2² × 18787¹

Step-3: Factors of 75140

List of positive integer factors of 75140 that divides 75140 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 289, 340, 442, 578, 884, 1105, 1156, 1445, 2210, 2890, 3757, 4420, 5780, 7514, 15028, 18785, 37570

Step-4: Factors of 75148

List of positive integer factors of 75148 that divides 75140 without a remainder.

1, 2, 4, 18787, 37574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75140 and 75148. The biggest common factor number is the GCF number.
So the greatest common factor 75140 and 75148 is 4.

Also check out the Least Common Multiple of 75140 and 75148