What is the Greatest Common Factor of 49091 and 49105?

Greatest common factor (GCF) of 49091 and 49105 is 7.

GCF(49091,49105) = 7

We will now calculate the prime factors of 49091 and 49105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49091 and 49105.

How to find the GCF of 49091 and 49105?

We will first find the prime factorization of 49091 and 49105. After we will calculate the factors of 49091 and 49105 and find the biggest common factor number .

Step-1: Prime Factorization of 49091

Prime factors of 49091 are 7, 7013. Prime factorization of 49091 in exponential form is:

49091 = 7¹ × 7013¹

Step-2: Prime Factorization of 49105

Prime factors of 49105 are 5, 7, 23, 61. Prime factorization of 49105 in exponential form is:

49105 = 5¹ × 7¹ × 23¹ × 61¹

Step-3: Factors of 49091

List of positive integer factors of 49091 that divides 49091 without a remainder.

1, 7, 7013

Step-4: Factors of 49105

List of positive integer factors of 49105 that divides 49091 without a remainder.

1, 5, 7, 23, 35, 61, 115, 161, 305, 427, 805, 1403, 2135, 7015, 9821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49091 and 49105. The biggest common factor number is the GCF number.
So the greatest common factor 49091 and 49105 is 7.

Also check out the Least Common Multiple of 49091 and 49105