What is the Greatest Common Factor of 62029 and 62040?

Greatest common factor (GCF) of 62029 and 62040 is 11.

GCF(62029,62040) = 11

We will now calculate the prime factors of 62029 and 62040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62029 and 62040.

How to find the GCF of 62029 and 62040?

We will first find the prime factorization of 62029 and 62040. After we will calculate the factors of 62029 and 62040 and find the biggest common factor number .

Step-1: Prime Factorization of 62029

Prime factors of 62029 are 11, 5639. Prime factorization of 62029 in exponential form is:

62029 = 11¹ × 5639¹

Step-2: Prime Factorization of 62040

Prime factors of 62040 are 2, 3, 5, 11, 47. Prime factorization of 62040 in exponential form is:

62040 = 2³ × 3¹ × 5¹ × 11¹ × 47¹

Step-3: Factors of 62029

List of positive integer factors of 62029 that divides 62029 without a remainder.

1, 11, 5639

Step-4: Factors of 62040

List of positive integer factors of 62040 that divides 62029 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 47, 55, 60, 66, 88, 94, 110, 120, 132, 141, 165, 188, 220, 235, 264, 282, 330, 376, 440, 470, 517, 564, 660, 705, 940, 1034, 1128, 1320, 1410, 1551, 1880, 2068, 2585, 2820, 3102, 4136, 5170, 5640, 6204, 7755, 10340, 12408, 15510, 20680, 31020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62029 and 62040. The biggest common factor number is the GCF number.
So the greatest common factor 62029 and 62040 is 11.

Also check out the Least Common Multiple of 62029 and 62040