What is the Greatest Common Factor of 49654 and 49670?

Greatest common factor (GCF) of 49654 and 49670 is 2.

GCF(49654,49670) = 2

We will now calculate the prime factors of 49654 and 49670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49654 and 49670.

How to find the GCF of 49654 and 49670?

We will first find the prime factorization of 49654 and 49670. After we will calculate the factors of 49654 and 49670 and find the biggest common factor number .

Step-1: Prime Factorization of 49654

Prime factors of 49654 are 2, 11, 37, 61. Prime factorization of 49654 in exponential form is:

49654 = 2¹ × 11¹ × 37¹ × 61¹

Step-2: Prime Factorization of 49670

Prime factors of 49670 are 2, 5, 4967. Prime factorization of 49670 in exponential form is:

49670 = 2¹ × 5¹ × 4967¹

Step-3: Factors of 49654

List of positive integer factors of 49654 that divides 49654 without a remainder.

1, 2, 11, 22, 37, 61, 74, 122, 407, 671, 814, 1342, 2257, 4514, 24827

Step-4: Factors of 49670

List of positive integer factors of 49670 that divides 49654 without a remainder.

1, 2, 5, 10, 4967, 9934, 24835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49654 and 49670. The biggest common factor number is the GCF number.
So the greatest common factor 49654 and 49670 is 2.

Also check out the Least Common Multiple of 49654 and 49670