What is the Greatest Common Factor of 49490 and 49510?

Greatest common factor (GCF) of 49490 and 49510 is 10.

GCF(49490,49510) = 10

We will now calculate the prime factors of 49490 and 49510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49490 and 49510.

How to find the GCF of 49490 and 49510?

We will first find the prime factorization of 49490 and 49510. After we will calculate the factors of 49490 and 49510 and find the biggest common factor number .

Step-1: Prime Factorization of 49490

Prime factors of 49490 are 2, 5, 7, 101. Prime factorization of 49490 in exponential form is:

49490 = 2¹ × 5¹ × 7² × 101¹

Step-2: Prime Factorization of 49510

Prime factors of 49510 are 2, 5, 4951. Prime factorization of 49510 in exponential form is:

49510 = 2¹ × 5¹ × 4951¹

Step-3: Factors of 49490

List of positive integer factors of 49490 that divides 49490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 101, 202, 245, 490, 505, 707, 1010, 1414, 3535, 4949, 7070, 9898, 24745

Step-4: Factors of 49510

List of positive integer factors of 49510 that divides 49490 without a remainder.

1, 2, 5, 10, 4951, 9902, 24755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49490 and 49510. The biggest common factor number is the GCF number.
So the greatest common factor 49490 and 49510 is 10.

Also check out the Least Common Multiple of 49490 and 49510