What is the Greatest Common Factor of 49427 and 49441?

Greatest common factor (GCF) of 49427 and 49441 is 7.

GCF(49427,49441) = 7

We will now calculate the prime factors of 49427 and 49441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49427 and 49441.

How to find the GCF of 49427 and 49441?

We will first find the prime factorization of 49427 and 49441. After we will calculate the factors of 49427 and 49441 and find the biggest common factor number .

Step-1: Prime Factorization of 49427

Prime factors of 49427 are 7, 23, 307. Prime factorization of 49427 in exponential form is:

49427 = 7¹ × 23¹ × 307¹

Step-2: Prime Factorization of 49441

Prime factors of 49441 are 7, 1009. Prime factorization of 49441 in exponential form is:

49441 = 7² × 1009¹

Step-3: Factors of 49427

List of positive integer factors of 49427 that divides 49427 without a remainder.

1, 7, 23, 161, 307, 2149, 7061

Step-4: Factors of 49441

List of positive integer factors of 49441 that divides 49427 without a remainder.

1, 7, 49, 1009, 7063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49427 and 49441. The biggest common factor number is the GCF number.
So the greatest common factor 49427 and 49441 is 7.

Also check out the Least Common Multiple of 49427 and 49441