What is the Greatest Common Factor of 61376 and 61382?

Greatest common factor (GCF) of 61376 and 61382 is 2.

GCF(61376,61382) = 2

We will now calculate the prime factors of 61376 and 61382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61376 and 61382.

How to find the GCF of 61376 and 61382?

We will first find the prime factorization of 61376 and 61382. After we will calculate the factors of 61376 and 61382 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 61382

Prime factors of 61382 are 2, 47, 653. Prime factorization of 61382 in exponential form is:

61382 = 2¹ × 47¹ × 653¹

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 61382

List of positive integer factors of 61382 that divides 61376 without a remainder.

1, 2, 47, 94, 653, 1306, 30691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61376 and 61382. The biggest common factor number is the GCF number.
So the greatest common factor 61376 and 61382 is 2.

Also check out the Least Common Multiple of 61376 and 61382