What is the Greatest Common Factor of 61458 and 61476?

Greatest common factor (GCF) of 61458 and 61476 is 6.

GCF(61458,61476) = 6

We will now calculate the prime factors of 61458 and 61476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61458 and 61476.

How to find the GCF of 61458 and 61476?

We will first find the prime factorization of 61458 and 61476. After we will calculate the factors of 61458 and 61476 and find the biggest common factor number .

Step-1: Prime Factorization of 61458

Prime factors of 61458 are 2, 3, 10243. Prime factorization of 61458 in exponential form is:

61458 = 2¹ × 3¹ × 10243¹

Step-2: Prime Factorization of 61476

Prime factors of 61476 are 2, 3, 47, 109. Prime factorization of 61476 in exponential form is:

61476 = 2² × 3¹ × 47¹ × 109¹

Step-3: Factors of 61458

List of positive integer factors of 61458 that divides 61458 without a remainder.

1, 2, 3, 6, 10243, 20486, 30729

Step-4: Factors of 61476

List of positive integer factors of 61476 that divides 61458 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 109, 141, 188, 218, 282, 327, 436, 564, 654, 1308, 5123, 10246, 15369, 20492, 30738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61458 and 61476. The biggest common factor number is the GCF number.
So the greatest common factor 61458 and 61476 is 6.

Also check out the Least Common Multiple of 61458 and 61476