What is the Greatest Common Factor of 61458 and 61462?

Greatest common factor (GCF) of 61458 and 61462 is 2.

GCF(61458,61462) = 2

We will now calculate the prime factors of 61458 and 61462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61458 and 61462.

How to find the GCF of 61458 and 61462?

We will first find the prime factorization of 61458 and 61462. After we will calculate the factors of 61458 and 61462 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 61462

Prime factors of 61462 are 2, 79, 389. Prime factorization of 61462 in exponential form is:

61462 = 2¹ × 79¹ × 389¹

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 61462

List of positive integer factors of 61462 that divides 61458 without a remainder.

1, 2, 79, 158, 389, 778, 30731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61458 and 61462. The biggest common factor number is the GCF number.
So the greatest common factor 61458 and 61462 is 2.

Also check out the Least Common Multiple of 61458 and 61462