What is the Greatest Common Factor of 49672 and 49690?

Greatest common factor (GCF) of 49672 and 49690 is 2.

GCF(49672,49690) = 2

We will now calculate the prime factors of 49672 and 49690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49672 and 49690.

How to find the GCF of 49672 and 49690?

We will first find the prime factorization of 49672 and 49690. After we will calculate the factors of 49672 and 49690 and find the biggest common factor number .

Step-1: Prime Factorization of 49672

Prime factors of 49672 are 2, 7, 887. Prime factorization of 49672 in exponential form is:

49672 = 2³ × 7¹ × 887¹

Step-2: Prime Factorization of 49690

Prime factors of 49690 are 2, 5, 4969. Prime factorization of 49690 in exponential form is:

49690 = 2¹ × 5¹ × 4969¹

Step-3: Factors of 49672

List of positive integer factors of 49672 that divides 49672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 887, 1774, 3548, 6209, 7096, 12418, 24836

Step-4: Factors of 49690

List of positive integer factors of 49690 that divides 49672 without a remainder.

1, 2, 5, 10, 4969, 9938, 24845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49672 and 49690. The biggest common factor number is the GCF number.
So the greatest common factor 49672 and 49690 is 2.

Also check out the Least Common Multiple of 49672 and 49690