What is the Greatest Common Factor of 61300 and 61307?

Greatest common factor (GCF) of 61300 and 61307 is 1.

GCF(61300,61307) = 1

We will now calculate the prime factors of 61300 and 61307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61300 and 61307.

How to find the GCF of 61300 and 61307?

We will first find the prime factorization of 61300 and 61307. After we will calculate the factors of 61300 and 61307 and find the biggest common factor number .

Step-1: Prime Factorization of 61300

Prime factors of 61300 are 2, 5, 613. Prime factorization of 61300 in exponential form is:

61300 = 2² × 5² × 613¹

Step-2: Prime Factorization of 61307

Prime factors of 61307 are 101, 607. Prime factorization of 61307 in exponential form is:

61307 = 101¹ × 607¹

Step-3: Factors of 61300

List of positive integer factors of 61300 that divides 61300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 613, 1226, 2452, 3065, 6130, 12260, 15325, 30650

Step-4: Factors of 61307

List of positive integer factors of 61307 that divides 61300 without a remainder.

1, 101, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61300 and 61307. The biggest common factor number is the GCF number.
So the greatest common factor 61300 and 61307 is 1.

Also check out the Least Common Multiple of 61300 and 61307