What is the Greatest Common Factor of 75140 and 75151?

Greatest common factor (GCF) of 75140 and 75151 is 1.

GCF(75140,75151) = 1

We will now calculate the prime factors of 75140 and 75151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75140 and 75151.

How to find the GCF of 75140 and 75151?

We will first find the prime factorization of 75140 and 75151. After we will calculate the factors of 75140 and 75151 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 75151

Prime factors of 75151 are 223, 337. Prime factorization of 75151 in exponential form is:

75151 = 223¹ × 337¹

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 75151

List of positive integer factors of 75151 that divides 75140 without a remainder.

1, 223, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75140 and 75151. The biggest common factor number is the GCF number.
So the greatest common factor 75140 and 75151 is 1.

Also check out the Least Common Multiple of 75140 and 75151