What is the Greatest Common Factor of 46550 and 46570?

Greatest common factor (GCF) of 46550 and 46570 is 10.

GCF(46550,46570) = 10

We will now calculate the prime factors of 46550 and 46570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46550 and 46570.

How to find the GCF of 46550 and 46570?

We will first find the prime factorization of 46550 and 46570. After we will calculate the factors of 46550 and 46570 and find the biggest common factor number .

Step-1: Prime Factorization of 46550

Prime factors of 46550 are 2, 5, 7, 19. Prime factorization of 46550 in exponential form is:

46550 = 2¹ × 5² × 7² × 19¹

Step-2: Prime Factorization of 46570

Prime factors of 46570 are 2, 5, 4657. Prime factorization of 46570 in exponential form is:

46570 = 2¹ × 5¹ × 4657¹

Step-3: Factors of 46550

List of positive integer factors of 46550 that divides 46550 without a remainder.

1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 49, 50, 70, 95, 98, 133, 175, 190, 245, 266, 350, 475, 490, 665, 931, 950, 1225, 1330, 1862, 2450, 3325, 4655, 6650, 9310, 23275

Step-4: Factors of 46570

List of positive integer factors of 46570 that divides 46550 without a remainder.

1, 2, 5, 10, 4657, 9314, 23285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46550 and 46570. The biggest common factor number is the GCF number.
So the greatest common factor 46550 and 46570 is 10.

Also check out the Least Common Multiple of 46550 and 46570