What is the Greatest Common Factor of 61362 and 61376?

Greatest common factor (GCF) of 61362 and 61376 is 14.

GCF(61362,61376) = 14

We will now calculate the prime factors of 61362 and 61376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61362 and 61376.

How to find the GCF of 61362 and 61376?

We will first find the prime factorization of 61362 and 61376. After we will calculate the factors of 61362 and 61376 and find the biggest common factor number .

Step-1: Prime Factorization of 61362

Prime factors of 61362 are 2, 3, 7, 487. Prime factorization of 61362 in exponential form is:

61362 = 2¹ × 3² × 7¹ × 487¹

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 61362

List of positive integer factors of 61362 that divides 61362 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 487, 974, 1461, 2922, 3409, 4383, 6818, 8766, 10227, 20454, 30681

Step-4: Factors of 61376

List of positive integer factors of 61376 that divides 61362 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 61362 and 61376. The biggest common factor number is the GCF number.
So the greatest common factor 61362 and 61376 is 14.

Also check out the Least Common Multiple of 61362 and 61376