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What is the Greatest Common Factor of 48029 and 48034?

Greatest common factor (GCF) of 48029 and 48034 is 1.

GCF(48029,48034) = 1

We will now calculate the prime factors of 48029 and 48034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48029 and 48034.

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How to find the GCF of 48029 and 48034?

We will first find the prime factorization of 48029 and 48034. After we will calculate the factors of 48029 and 48034 and find the biggest common factor number .

Step-1: Prime Factorization of 48029

Prime factors of 48029 are 48029. Prime factorization of 48029 in exponential form is:

48029 = 480291

Step-2: Prime Factorization of 48034

Prime factors of 48034 are 2, 7, 47, 73. Prime factorization of 48034 in exponential form is:

48034 = 21 × 71 × 471 × 731

Step-3: Factors of 48029

List of positive integer factors of 48029 that divides 48029 without a remainder.

1

Step-4: Factors of 48034

List of positive integer factors of 48034 that divides 48029 without a remainder.

1, 2, 7, 14, 47, 73, 94, 146, 329, 511, 658, 1022, 3431, 6862, 24017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48029 and 48034. The biggest common factor number is the GCF number.
So the greatest common factor 48029 and 48034 is 1.

Also check out the Least Common Multiple of 48029 and 48034