What is the Greatest Common Factor of 61367 and 61376?

Greatest common factor (GCF) of 61367 and 61376 is 1.

GCF(61367,61376) = 1

We will now calculate the prime factors of 61367 and 61376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61367 and 61376.

How to find the GCF of 61367 and 61376?

We will first find the prime factorization of 61367 and 61376. After we will calculate the factors of 61367 and 61376 and find the biggest common factor number .

Step-1: Prime Factorization of 61367

Prime factors of 61367 are 109, 563. Prime factorization of 61367 in exponential form is:

61367 = 109¹ × 563¹

Step-2: 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-3: Factors of 61367

List of positive integer factors of 61367 that divides 61367 without a remainder.

1, 109, 563

Step-4: Factors of 61376

List of positive integer factors of 61376 that divides 61367 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61367 and 61376. The biggest common factor number is the GCF number.
So the greatest common factor 61367 and 61376 is 1.

Also check out the Least Common Multiple of 61367 and 61376