What is the Greatest Common Factor of 49465 and 49470?

Greatest common factor (GCF) of 49465 and 49470 is 5.

GCF(49465,49470) = 5

We will now calculate the prime factors of 49465 and 49470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49465 and 49470.

How to find the GCF of 49465 and 49470?

We will first find the prime factorization of 49465 and 49470. After we will calculate the factors of 49465 and 49470 and find the biggest common factor number .

Step-1: Prime Factorization of 49465

Prime factors of 49465 are 5, 13, 761. Prime factorization of 49465 in exponential form is:

49465 = 5¹ × 13¹ × 761¹

Step-2: Prime Factorization of 49470

Prime factors of 49470 are 2, 3, 5, 17, 97. Prime factorization of 49470 in exponential form is:

49470 = 2¹ × 3¹ × 5¹ × 17¹ × 97¹

Step-3: Factors of 49465

List of positive integer factors of 49465 that divides 49465 without a remainder.

1, 5, 13, 65, 761, 3805, 9893

Step-4: Factors of 49470

List of positive integer factors of 49470 that divides 49465 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 97, 102, 170, 194, 255, 291, 485, 510, 582, 970, 1455, 1649, 2910, 3298, 4947, 8245, 9894, 16490, 24735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49465 and 49470. The biggest common factor number is the GCF number.
So the greatest common factor 49465 and 49470 is 5.

Also check out the Least Common Multiple of 49465 and 49470