What is the Greatest Common Factor of 49602 and 49609?

Greatest common factor (GCF) of 49602 and 49609 is 7.

GCF(49602,49609) = 7

We will now calculate the prime factors of 49602 and 49609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49602 and 49609.

How to find the GCF of 49602 and 49609?

We will first find the prime factorization of 49602 and 49609. After we will calculate the factors of 49602 and 49609 and find the biggest common factor number .

Step-1: Prime Factorization of 49602

Prime factors of 49602 are 2, 3, 7, 1181. Prime factorization of 49602 in exponential form is:

49602 = 2¹ × 3¹ × 7¹ × 1181¹

Step-2: Prime Factorization of 49609

Prime factors of 49609 are 7, 19, 373. Prime factorization of 49609 in exponential form is:

49609 = 7¹ × 19¹ × 373¹

Step-3: Factors of 49602

List of positive integer factors of 49602 that divides 49602 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1181, 2362, 3543, 7086, 8267, 16534, 24801

Step-4: Factors of 49609

List of positive integer factors of 49609 that divides 49602 without a remainder.

1, 7, 19, 133, 373, 2611, 7087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49602 and 49609. The biggest common factor number is the GCF number.
So the greatest common factor 49602 and 49609 is 7.

Also check out the Least Common Multiple of 49602 and 49609