What is the Greatest Common Factor of 61361 and 61376?

Greatest common factor (GCF) of 61361 and 61376 is 1.

GCF(61361,61376) = 1

We will now calculate the prime factors of 61361 and 61376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61361 and 61376.

How to find the GCF of 61361 and 61376?

We will first find the prime factorization of 61361 and 61376. After we will calculate the factors of 61361 and 61376 and find the biggest common factor number .

Step-1: Prime Factorization of 61361

Prime factors of 61361 are 43, 1427. Prime factorization of 61361 in exponential form is:

61361 = 43¹ × 1427¹

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 61361

List of positive integer factors of 61361 that divides 61361 without a remainder.

1, 43, 1427

Step-4: Factors of 61376

List of positive integer factors of 61376 that divides 61361 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 61361 and 61376. The biggest common factor number is the GCF number.
So the greatest common factor 61361 and 61376 is 1.

Also check out the Least Common Multiple of 61361 and 61376