What is the Greatest Common Factor of 42029 and 42048?

Greatest common factor (GCF) of 42029 and 42048 is 1.

GCF(42029,42048) = 1

We will now calculate the prime factors of 42029 and 42048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42029 and 42048.

How to find the GCF of 42029 and 42048?

We will first find the prime factorization of 42029 and 42048. After we will calculate the factors of 42029 and 42048 and find the biggest common factor number .

Step-1: Prime Factorization of 42029

Prime factors of 42029 are 13, 53, 61. Prime factorization of 42029 in exponential form is:

42029 = 13¹ × 53¹ × 61¹

Step-2: Prime Factorization of 42048

Prime factors of 42048 are 2, 3, 73. Prime factorization of 42048 in exponential form is:

42048 = 2⁶ × 3² × 73¹

Step-3: Factors of 42029

List of positive integer factors of 42029 that divides 42029 without a remainder.

1, 13, 53, 61, 689, 793, 3233

Step-4: Factors of 42048

List of positive integer factors of 42048 that divides 42029 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 73, 96, 144, 146, 192, 219, 288, 292, 438, 576, 584, 657, 876, 1168, 1314, 1752, 2336, 2628, 3504, 4672, 5256, 7008, 10512, 14016, 21024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42029 and 42048. The biggest common factor number is the GCF number.
So the greatest common factor 42029 and 42048 is 1.

Also check out the Least Common Multiple of 42029 and 42048