What is the Greatest Common Factor of 61376 and 61395?

Greatest common factor (GCF) of 61376 and 61395 is 1.

GCF(61376,61395) = 1

We will now calculate the prime factors of 61376 and 61395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61376 and 61395.

How to find the GCF of 61376 and 61395?

We will first find the prime factorization of 61376 and 61395. After we will calculate the factors of 61376 and 61395 and find the biggest common factor number .

Step-1: Prime Factorization of 61376

Prime factors of 61376 are 2, 7, 137. Prime factorization of 61376 in exponential form is:

61376 = 2⁶ × 7¹ × 137¹

Step-2: Prime Factorization of 61395

Prime factors of 61395 are 3, 5, 4093. Prime factorization of 61395 in exponential form is:

61395 = 3¹ × 5¹ × 4093¹

Step-3: Factors of 61376

List of positive integer factors of 61376 that divides 61376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 137, 224, 274, 448, 548, 959, 1096, 1918, 2192, 3836, 4384, 7672, 8768, 15344, 30688

Step-4: Factors of 61395

List of positive integer factors of 61395 that divides 61376 without a remainder.

1, 3, 5, 15, 4093, 12279, 20465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61376 and 61395. The biggest common factor number is the GCF number.
So the greatest common factor 61376 and 61395 is 1.

Also check out the Least Common Multiple of 61376 and 61395