What is the Greatest Common Factor of 61424 and 61442?

Greatest common factor (GCF) of 61424 and 61442 is 2.

GCF(61424,61442) = 2

We will now calculate the prime factors of 61424 and 61442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61424 and 61442.

How to find the GCF of 61424 and 61442?

We will first find the prime factorization of 61424 and 61442. After we will calculate the factors of 61424 and 61442 and find the biggest common factor number .

Step-1: Prime Factorization of 61424

Prime factors of 61424 are 2, 11, 349. Prime factorization of 61424 in exponential form is:

61424 = 2⁴ × 11¹ × 349¹

Step-2: Prime Factorization of 61442

Prime factors of 61442 are 2, 31, 991. Prime factorization of 61442 in exponential form is:

61442 = 2¹ × 31¹ × 991¹

Step-3: Factors of 61424

List of positive integer factors of 61424 that divides 61424 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 349, 698, 1396, 2792, 3839, 5584, 7678, 15356, 30712

Step-4: Factors of 61442

List of positive integer factors of 61442 that divides 61424 without a remainder.

1, 2, 31, 62, 991, 1982, 30721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61424 and 61442. The biggest common factor number is the GCF number.
So the greatest common factor 61424 and 61442 is 2.

Also check out the Least Common Multiple of 61424 and 61442