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What is the Greatest Common Factor of 61295 and 61307?

Greatest common factor (GCF) of 61295 and 61307 is 1.

GCF(61295,61307) = 1

We will now calculate the prime factors of 61295 and 61307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61295 and 61307.

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How to find the GCF of 61295 and 61307?

We will first find the prime factorization of 61295 and 61307. After we will calculate the factors of 61295 and 61307 and find the biggest common factor number .

Step-1: Prime Factorization of 61295

Prime factors of 61295 are 5, 13, 23, 41. Prime factorization of 61295 in exponential form is:

61295 = 51 × 131 × 231 × 411

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 61295

List of positive integer factors of 61295 that divides 61295 without a remainder.

1, 5, 13, 23, 41, 65, 115, 205, 299, 533, 943, 1495, 2665, 4715, 12259

Step-4: Factors of 61307

List of positive integer factors of 61307 that divides 61295 without a remainder.

1, 101, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61295 and 61307. The biggest common factor number is the GCF number.
So the greatest common factor 61295 and 61307 is 1.

Also check out the Least Common Multiple of 61295 and 61307