What is the Greatest Common Factor of 49490 and 49504?

Greatest common factor (GCF) of 49490 and 49504 is 14.

GCF(49490,49504) = 14

We will now calculate the prime factors of 49490 and 49504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49490 and 49504.

How to find the GCF of 49490 and 49504?

We will first find the prime factorization of 49490 and 49504. After we will calculate the factors of 49490 and 49504 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 49504

Prime factors of 49504 are 2, 7, 13, 17. Prime factorization of 49504 in exponential form is:

49504 = 2⁵ × 7¹ × 13¹ × 17¹

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 49504

List of positive integer factors of 49504 that divides 49490 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 17, 26, 28, 32, 34, 52, 56, 68, 91, 104, 112, 119, 136, 182, 208, 221, 224, 238, 272, 364, 416, 442, 476, 544, 728, 884, 952, 1456, 1547, 1768, 1904, 2912, 3094, 3536, 3808, 6188, 7072, 12376, 24752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49490 and 49504. The biggest common factor number is the GCF number.
So the greatest common factor 49490 and 49504 is 14.

Also check out the Least Common Multiple of 49490 and 49504