What is the Greatest Common Factor of 47102 and 47120?
Greatest common factor (GCF) of 47102 and 47120 is 2.
GCF(47102,47120) = 2
We will now calculate the prime factors of 47102 and 47120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47102 and 47120.
How to find the GCF of 47102 and 47120?
We will first find the prime factorization of 47102 and 47120. After we will calculate the factors of 47102 and 47120 and find the biggest common factor number .
Step-1: Prime Factorization of 47102
Prime factors of 47102 are 2, 11, 2141. Prime factorization of 47102 in exponential form is:
47102 = 21 × 111 × 21411
Step-2: Prime Factorization of 47120
Prime factors of 47120 are 2, 5, 19, 31. Prime factorization of 47120 in exponential form is:
47120 = 24 × 51 × 191 × 311
Step-3: Factors of 47102
List of positive integer factors of 47102 that divides 47102 without a remainder.
1, 2, 11, 22, 2141, 4282, 23551
Step-4: Factors of 47120
List of positive integer factors of 47120 that divides 47102 without a remainder.
1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 38, 40, 62, 76, 80, 95, 124, 152, 155, 190, 248, 304, 310, 380, 496, 589, 620, 760, 1178, 1240, 1520, 2356, 2480, 2945, 4712, 5890, 9424, 11780, 23560
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47102 and 47120. The biggest common factor number is the GCF number.
So the greatest common factor 47102 and 47120 is 2.
Also check out the Least Common Multiple of 47102 and 47120
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