What is the Greatest Common Factor of 53040 and 53048?

Greatest common factor (GCF) of 53040 and 53048 is 8.

GCF(53040,53048) = 8

We will now calculate the prime factors of 53040 and 53048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53048.

How to find the GCF of 53040 and 53048?

We will first find the prime factorization of 53040 and 53048. After we will calculate the factors of 53040 and 53048 and find the biggest common factor number .

Step-1: Prime Factorization of 53040

Prime factors of 53040 are 2, 3, 5, 13, 17. Prime factorization of 53040 in exponential form is:

53040 = 2⁴ × 3¹ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 53048

Prime factors of 53048 are 2, 19, 349. Prime factorization of 53048 in exponential form is:

53048 = 2³ × 19¹ × 349¹

Step-3: Factors of 53040

List of positive integer factors of 53040 that divides 53040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 17, 20, 24, 26, 30, 34, 39, 40, 48, 51, 52, 60, 65, 68, 78, 80, 85, 102, 104, 120, 130, 136, 156, 170, 195, 204, 208, 221, 240, 255, 260, 272, 312, 340, 390, 408, 442, 510, 520, 624, 663, 680, 780, 816, 884, 1020, 1040, 1105, 1326, 1360, 1560, 1768, 2040, 2210, 2652, 3120, 3315, 3536, 4080, 4420, 5304, 6630, 8840, 10608, 13260, 17680, 26520

Step-4: Factors of 53048

List of positive integer factors of 53048 that divides 53040 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 349, 698, 1396, 2792, 6631, 13262, 26524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53048. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53048 is 8.

Also check out the Least Common Multiple of 53040 and 53048