What is the Greatest Common Factor of 61465 and 61472?

Greatest common factor (GCF) of 61465 and 61472 is 1.

GCF(61465,61472) = 1

We will now calculate the prime factors of 61465 and 61472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61465 and 61472.

How to find the GCF of 61465 and 61472?

We will first find the prime factorization of 61465 and 61472. After we will calculate the factors of 61465 and 61472 and find the biggest common factor number .

Step-1: Prime Factorization of 61465

Prime factors of 61465 are 5, 19, 647. Prime factorization of 61465 in exponential form is:

61465 = 5¹ × 19¹ × 647¹

Step-2: Prime Factorization of 61472

Prime factors of 61472 are 2, 17, 113. Prime factorization of 61472 in exponential form is:

61472 = 2⁵ × 17¹ × 113¹

Step-3: Factors of 61465

List of positive integer factors of 61465 that divides 61465 without a remainder.

1, 5, 19, 95, 647, 3235, 12293

Step-4: Factors of 61472

List of positive integer factors of 61472 that divides 61465 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 113, 136, 226, 272, 452, 544, 904, 1808, 1921, 3616, 3842, 7684, 15368, 30736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61465 and 61472. The biggest common factor number is the GCF number.
So the greatest common factor 61465 and 61472 is 1.

Also check out the Least Common Multiple of 61465 and 61472