What is the Greatest Common Factor of 99530 and 99540?

Greatest common factor (GCF) of 99530 and 99540 is 10.

GCF(99530,99540) = 10

We will now calculate the prime factors of 99530 and 99540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99530 and 99540.

How to find the GCF of 99530 and 99540?

We will first find the prime factorization of 99530 and 99540. After we will calculate the factors of 99530 and 99540 and find the biggest common factor number .

Step-1: Prime Factorization of 99530

Prime factors of 99530 are 2, 5, 37, 269. Prime factorization of 99530 in exponential form is:

99530 = 2¹ × 5¹ × 37¹ × 269¹

Step-2: Prime Factorization of 99540

Prime factors of 99540 are 2, 3, 5, 7, 79. Prime factorization of 99540 in exponential form is:

99540 = 2² × 3² × 5¹ × 7¹ × 79¹

Step-3: Factors of 99530

List of positive integer factors of 99530 that divides 99530 without a remainder.

1, 2, 5, 10, 37, 74, 185, 269, 370, 538, 1345, 2690, 9953, 19906, 49765

Step-4: Factors of 99540

List of positive integer factors of 99540 that divides 99530 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 79, 84, 90, 105, 126, 140, 158, 180, 210, 237, 252, 315, 316, 395, 420, 474, 553, 630, 711, 790, 948, 1106, 1185, 1260, 1422, 1580, 1659, 2212, 2370, 2765, 2844, 3318, 3555, 4740, 4977, 5530, 6636, 7110, 8295, 9954, 11060, 14220, 16590, 19908, 24885, 33180, 49770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99530 and 99540. The biggest common factor number is the GCF number.
So the greatest common factor 99530 and 99540 is 10.

Also check out the Least Common Multiple of 99530 and 99540